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Finding the Fourth Proportional to 31,431, 47,147.04 and 10,655.04

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Solution

The fourth proportional to 31,431, 47,147.04 and 10,655.04 is: 15,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431 : 47,147.04 = 10,655.04 : x
  2. Step 2: Convert to fraction form
    31,431/47,147.04 = 10,655.04/x
  3. Step 3: Cross multiply
    31,431x = 47,147.04 × 10,655.04
  4. Step 4: Simplify right side
    31,431x = 502,353,597.08
  5. Step 5: Solve for x
    x = 502,353,597.08/31,431
  6. Step 6: Final answer
    x = 15,982.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.